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65134240 = 255419929
BaseRepresentation
bin1111100001110…
…1111010100000
311112120011101021
43320131322200
5113133243430
610244015224
71420426513
oct370357240
9145504337
1065134240
1133848356
1219991514
1310656b92
148916d7a
155ab907a
hex3e1dea0

65134240 has 48 divisors (see below), whose sum is σ = 157648680. Its totient is φ = 25415680.

The previous prime is 65134231. The next prime is 65134243. The reversal of 65134240 is 4243156.

It can be written as a sum of positive squares in 4 ways, for example, as 25040016 + 40094224 = 5004^2 + 6332^2 .

It is not an unprimeable number, because it can be changed into a prime (65134243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1596 + ... + 11524.

Almost surely, 265134240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78824340).

65134240 is an abundant number, since it is smaller than the sum of its proper divisors (92514440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65134240 is a wasteful number, since it uses less digits than its factorization.

65134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9985 (or 9977 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 65134240 is about 8070.5786657463. The cubic root of 65134240 is about 402.3491764166.

Adding to 65134240 its reverse (4243156), we get a palindrome (69377396).

The spelling of 65134240 in words is "sixty-five million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 9929 19858 39716 49645 79432 99290 158864 198580 317728 397160 407089 794320 814178 1588640 1628356 2035445 3256712 4070890 6513424 8141780 13026848 16283560 32567120 65134240